Search a number
-
+
223100031313 is a prime number
BaseRepresentation
bin1100111111000111001…
…1000101000101010001
3210022212020001212020201
43033301303011011101
512123402102000223
6250253555535201
722055424656035
oct3176163050521
9708766055221
10223100031313
1186686173675
12372a38ba501
1318066033163
14ab25dac1c5
155c0b442ead
hex33f1cc5151

223100031313 has 2 divisors, whose sum is σ = 223100031314. Its totient is φ = 223100031312.

The previous prime is 223100031307. The next prime is 223100031367. The reversal of 223100031313 is 313130001322.

223100031313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 118041719184 + 105058312129 = 343572^2 + 324127^2 .

It is a cyclic number.

It is not a de Polignac number, because 223100031313 - 29 = 223100030801 is a prime.

It is a super-3 number, since 3×2231000313133 (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (223100032313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111550015656 + 111550015657.

It is an arithmetic number, because the mean of its divisors is an integer number (111550015657).

Almost surely, 2223100031313 is an apocalyptic number.

It is an amenable number.

223100031313 is a deficient number, since it is larger than the sum of its proper divisors (1).

223100031313 is an equidigital number, since it uses as much as digits as its factorization.

223100031313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 223100031313 its reverse (313130001322), we get a palindrome (536230032635).

The spelling of 223100031313 in words is "two hundred twenty-three billion, one hundred million, thirty-one thousand, three hundred thirteen".